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Finding the Third Proportional to 27,831,794.50 and 56,446,535

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Solution

The third proportional to 27,831,794.50 and 56,446,535 is: 114,480,987.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,831,794.50 : 56,446,535 = 56,446,535 : x
  2. Step 2: Convert to fraction form
    27,831,794.50/56,446,535 = 56,446,535/x
  3. Step 3: Cross multiply
    27,831,794.50x = 56,446,535 × 56,446,535
  4. Step 4: Simplify right side
    27,831,794.50x = 3,186,211,313,506,225
  5. Step 5: Solve for x
    x = 3,186,211,313,506,225/27,831,794.50
  6. Step 6: Final answer
    x = 114,480,987.33

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.